Numerical Solution of Partial Differential Equations in Science and Engineering

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Numerical Solution of Partial Differential Equations in Science and Engineering

Author: Leon Lapidus, George F. Pinder | Size: 11.9 MB | Format: PDF | Publisher: Wiley | Year: 1999 | pages: 677 | ISBN: 9780471359449

Incorporates the essential elements of all the numerical methods currently used in the solution of partial differential equations encountered in science and engineering. Considers partial differential equations by their type (parabolic, elliptic, or hyperbolic), and applies all relevant numerical schemes to each type. All material included is presented free of specialized notation and terminology.

From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering:
* "The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject . . . [It] is unique in that it covers equally finite difference and finite element methods."-Burrelle's.
* "The authors have selected an elementary (but not simplistic) mode of presentation. Many different computational schemes are described in great detail . . . Numerous practical examples and applications are described from beginning to the end, often with calculated results given."-Mathematics of Computing.
* "This volume . . . devotes its considerable number of pages to lucid developments of the methods [for solving partial differential equations] . . . the writing is very polished and I found it a pleasure to read!"-Mathematics of Computation

Contents:
Fundamental Concepts.

Basic Concepts in the Finite Difference and Finite Element Methods.

Finite Elements on Irregular Subspaces.

Parabolic Partial Differential Equations.

Elliptic Partial Differential Equations.

Hyperbolic Partial Differential Equations.

Index.

Code:

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